Moving is obviously your Search the List category for this service. You can find a lot of previous questions about moving, insurance issues (including normal mover insurance low damage limits and per-item coverage and issues with storage en-route over so many days), and some contributor recommendatio0ns on moving companies, in the Home > Moving link, under Browse Projects.
My recommendation - go with a major brandname mover - usually not more than about 5% more expensive, and a lot less hassle and they know how to do it error-free in a much greater percentage of cases. Also, make sure your moving contract is with the nationwide moving company, not just with a local company - because a local company is not going to be responsive to problems which maj occur en-route or at the delivery end. The local company may be doing the packing and loading, but make sure the contract itself is on the national (Bekins, Allied, Global, Mayflower or whatever) firm's paperwork and that THEY are the contracting party, with the local mover just acting as their agent.
My personal favorites after a few cross-country moves - Bekins first, Allied second.
Oh - and don't believe their shipping status websites - last Allied move the website said the truck was several states away when the driver called saying he was in town and ready to delkiver the shipment.
You can get pretty fair cost estimates using many of the nationwide mover website estimators, before having to talk to any of them - but because of standardized shipping tarriffs most will be very much the same.
